Q232 / 270 · NDA 2016 (Phase 1) · Mathematics

What is $\lim _{x \rightarrow 0} e^{-\frac{1}{x^2}}$ equal to?

  • Correct answer
    A
    0
  • B
    1
  • C
    –1
  • D
    Limit does not exist

Solution

$\lim _{x \rightarrow 0} e^{-\frac{1}{x^2}}=e^{\frac{-1}{0}}=e^{-\infty}=0$

Hence, the correct answer is option: 'A'.

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